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Cited by 411

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Degrees of Freedom in Multiple-Antenna Channels: A Signal Space Approach

Poon, A.S.Y., Brodersen, R.W., Tse, D.N.C.·2005·IEEE Transactions on Information Theory

Abstract

Multiple-antenna systems that are limited by the area and geometry of antenna arrays, are considered. Given these physical constraints, the limit on the available number of spatial degrees of freedom is derived. The commonly used statistical multiple-input multiple-output (MIMO) model is inadequate. Antenna theory is applied to take into account the area and geometry constraints, and to define the spatial signal space so as to interpret experimental channel measurements in an array-independent but manageable description of the physical environment. Based on these modeling strategies, for a spherical array of effective aperture A in a physical environment of angular spread |/spl Omega/| in solid angle, the number of spatial degrees of freedom is shown to be A|/spl Omega/| for uni-polarized antennas and 2A|/spl Omega/| for tri-polarized antennas. Together with the 2WT degrees of freedom for a system of bandwidth W transmitting in an interval T, the total degrees of freedom of a multiple-antenna channel is therefore 4WTA|/spl Omega/|.

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Metadata

Authors
Poon, A. S. Y., Brodersen, R. W., & Tse, D. N. C.
Venue
IEEE Transactions on Information Theory
Published
2005-02
Volume
51
Issue
2
Pages
523-536
ISSN
0018-9448 (ISSN-L)
OpenAlex
W2124164696
Cited by
411
References
4
FWCI
22.25
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Degrees of Freedom in Multiple-Antenna Channels: A Signal Space Approach. https://app.cochat.ai/papers/10.1109/tit.2004.840892
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Poon, A. S. Y., Brodersen, R. W., & Tse, D. N. C. (2005). Degrees of Freedom in Multiple-Antenna Channels: A Signal Space Approach. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.2004.840892

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